"If I could help get the monkey off the back, whatever it takes," Teagarden said.
The 30-year-old Teagarden had struck out in his first two at-bats. He said his teammates let him know just how poorly they've done with the bases loaded after he returned to the dugout.
Playing in front of a season-low Citi Field crowd of 20,206 that booed Ryan Braun in each of his four plate appearances, the Mets improved to 11 for 64 (.172) with the sacks full.
"He didn't know you weren't supposed to get a hit," manager Terry Collins said with a big grin.
Daisuke Matsuzaka (3-0) pitched six effective innings and Murphy homered off Estrada in the third. Before the game, Mets general manager Sandy Alderson said Collins' job is secure after the team returned from a 4-7 road trip a season-worst seven games under .500.
Outhit 6-5, the Mets scored their most runs in 16 home games since a 7-6 loss in 10 innings to Miami on April 26.
Matsuzaka was hit high on the outside of his right thigh by a line drive in the sixth. Making his third start of the year, the right-hander recovered to throw out Carlos Gomez and finished the inning.
Collins said the plan was to send Matsuzaka out for the start of the seventh because he was at 100 pitches.
"Pitch-count wise I think I would've been able to go into the next inning fine," Matsuzaka said through a translator. "Right now it's not too bad, but it should start swelling I think by tomorrow, so we'll see what happens."
Estrada (5-3) has given up a major league-worst 20 homers this season, and both long balls Tuesday followed walks.
"I threw a lot of close pitches. Guys just laid off of them," Estrada said. "I don't understand why I'm walking so many guys right now. I've got to figure this out now because it's getting out of hand."
Murphy connected after Ruben Tejada walked with two outs in the third, the ball just clearing the right field wall for a 2-0 lead. Murphy, who spent his off day Monday participating in a White House summit on working families, has five homers.
The Brewers cut the lead in half in the fourth after Khris Davis was hit by a pitch from Matsuzaka. Running on a full-count pitch to Lyle Overbay, Davis scored from first when Overbay hit a sharp grounder inside first base for a run-scoring double.
Matsuzaka, however, kept the NL Central leaders in check. He allowed three hits and three walks, striking out five.
Estrada walked David Wright and Curtis Granderson with one out in the sixth. After Chris Young struck out, Lucas Duda walked to load the bases. Teagarden's drive hit off the top of the wall down the right field line and ricocheted into the seats for his first slam since 2008 with Texas.
"I think the at-bats leading up were really good, too," Murphy said.
Mets RHP Matt Harvey (Tommy John surgery) was scheduled to throw off a slope but that was pushed back. Alderson said Harvey is doing well. The schedule was changed because the team's doctors didn't want Harvey pitching too soon. ... Mets RHP Gonzalez Germen (virus and abscess) was activated from the 15-day DL after the game. LHP Scott Rice was sent to Triple-A Las Vegas. ... OF Eric Young Jr. (hamstring) has started running, but not at full speed. He has also been hitting. ... Brewers RHP Tyler Thornburg (elbow soreness) had an MRI. Manager Ron Roenicke said the team is waiting for a radiologist to examine the results before revealing anything. He did say it's not an injury that would require Tommy John surgery.